L=(Vin−Vout)·D/(fs·ΔIL)
C=ΔIL/(8·fs·ΔVout)
Inductor current triangular ripple (one full switching cycle)
Circuit topology schematic
Design Buck, Boost, and Buck-Boost DC-DC converters. Calculate L, C, duty cycle, and efficiency in real time. Visualize the inductor current waveform and efficiency curve.
Inductor current triangular ripple (one full switching cycle)
Circuit topology schematic
The core of any switching converter is the volt-second balance across the inductor. Over one switching period, the net voltage-time product must be zero for steady-state operation. This principle directly yields the conversion ratio.
$$ \text{Buck: }\frac{V_{out}}{V_{in}}= D \quad \text{Boost: }\frac{V_{out}}{V_{in}}= \frac{1}{1-D}\quad \text{Buck-Boost: }\frac{V_{out}}{V_{in}}= -\frac{D}{1-D}$$Where $D$ is the duty cycle (0 to 1), $V_{in}$ is the input voltage, and $V_{out}$ is the output voltage (negative for Buck-Boost indicates polarity inversion).
The inductor value is chosen to limit the current ripple to a designed percentage of the average inductor current. The required minimum inductance depends on the converter topology and operating point.
$$ L_{min}= \frac{V_{L} \times D}{f_s \times \Delta I_L}$$Here, $V_L$ is the voltage across the inductor during the switch-ON phase (e.g., $V_{in}- V_{out}$ for a Buck), $f_s$ is the switching frequency, and $\Delta I_L$ is the desired peak-to-peak ripple current, calculated from the set Ripple Ratio and the average inductor current $I_L$.
Consumer Electronics Power Management: The processor in your smartphone or laptop requires a very specific, low voltage (e.g., 0.8V to 1.2V) that changes dynamically to save power. A Buck converter, often integrated into the chip itself, efficiently steps down the battery voltage (3.7V) to this precise level with minimal energy loss as heat.
LED Drivers and Automotive Systems: A car battery nominally provides 12V, but high-brightness LED headlights might need a forward voltage of 30V or more. A Boost converter is used to step up the voltage. Conversely, infotainment systems need stable 5V or 3.3V, provided by robust Buck converters that handle the battery's voltage surges.
Renewable Energy Systems: The voltage from a solar panel varies greatly with sunlight. A Buck-Boost or dedicated Maximum Power Point Tracking (MPPT) converter is essential to efficiently adjust this variable input to the constant voltage required to charge a battery bank or feed into the power grid, maximizing energy harvest.
Industrial Motor Drives & Robotics: Variable-speed motor drives need to precisely control power delivery. Switching converters provide the controlled DC bus voltage that is then chopped by an inverter to drive the motor. Their high efficiency is critical for reducing heat in enclosed control cabinets and improving overall system runtime.
First, the idea that "you can simply adopt the calculated minimum inductance Lmin as-is" is risky. The value provided by the tool is the theoretical minimum for operation in continuous conduction mode. In practice, the golden rule is to select a value with a margin of about 1.2 to 1.5 times the calculated value, considering transient response under load variations and the DC bias characteristics (saturation) of the inductor itself. For example, if the calculation yields 10µH, you should look for a standard part rated for 12–15µH.
Next, do not underestimate the role of the output capacitor Cout. While the tool calculates the capacitance needed to suppress ripple voltage, the equivalent series resistance (ESR) is often the dominant factor for the actual ripple voltage. For instance, a 10µF ceramic capacitor (low ESR) and an electrolytic capacitor (high ESR) operating at 100kHz will produce completely different output waveforms. For high frequencies, low-ESR ceramic capacitors are essential.
Finally, understand that the duty cycle D is not a parameter you can set freely. In the tool, it is uniquely determined from the input and output voltages. If the calculated D exceeds 90% to achieve your desired output voltage, it's a sign of an impractical design. The switch off-time becomes extremely short, leading to unstable control or non-negligible diode reverse recovery losses. In such cases, you need to reconsider the input voltage range.
Design a 24V/3A buck converter from 48V input at 200kHz switching frequency. Input voltage Vin=48V, output voltage Vout=24V, output current Iout=3A, switching frequency Fs=200kHz. Calculated duty cycle D = Vout/Vin = 24/48 = 0.5 (50%). For ripple current of 20% (±0.3A), inductor L = (Vin − Vout)×D / (ΔI×Fs) = (48−24)×0.5 / (0.6×200k) ≈ 100µH. Output capacitor Cout ≈ 47µF (voltage rating 35V). Efficiency with 85% diode and 92% MOSFET yields approximately 88% overall; inductor current waveform shows triangular ramp between 2.7A and 3.3A at 5µs period.